Extra Credit: Graph the function r(x) = |x −5| + 4. Compare the graph to the graph of f(x) = |x|. Describe the domain and range.

Ms. Caswell deposits $450 into an account earning 8% simple interest per year. How

ioda

Answer:

$144

Step-by-step explanation:

Use the simple interest formula, I = prt, where I is the interest money created, p is the starting amount, r is the interest rate as a decimal, and t is the amount of time.

Plug in the original amount, interest amount, and amount of time:

I = prt

I = 450(0.08)(4)

I = 144

So, $144 in simple interest is made in 4 years

5 0

3 years ago

7. Sky Castle Company is conducting research on 3 independent communities of 12 members each to see how they have been consuming

tresset_1 [31]

Answer:

1.98% probability that at least 11 members are categorized as low risk participants in two of three communities

Step-by-step explanation:

To solve this question, we need to use two separate binomial trials.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of at least 11 members being categorized as low risk participants.

12 members in the sample, so $n = 12$

30% chance to be categorized as high risk participants. So 100-30 = 70% probability of being categorized as low risk participants. So $p = 0.7$

This probability is

$P(X \leq 11) = P(X = 11) + P(X = 12)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{12,11}.(0.7)^{11}.(0.3)^{1} = 0.0712$

$P(X = 2) = C_{12,12}.(0.7)^{12}.(0.3)^{0} = 0.0138$

$P(X \leq 11) = P(X = 11) + P(X = 12) = 0.0712 + 0.0138 = 0.0850$

What is the probability that at least 11 members are categorized as low risk participants in two of three communities?

For each community, 8.50% probability of at least 11 members being categorized as low risk. So $p = 0.085$

Three comunities, so $n = 3$

This probability is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.085)^{2}.(0.915)^{1} = 0.0198$

1.98% probability that at least 11 members are categorized as low risk participants in two of three communities

6 0

4 years ago

A map maker has created a new map of North America. The map has a length of 30 inches and a width of 24 inches and a scale of 1

CaHeK987 [17]

Answer:

Map 1:

Width of 12 inches → 1 inch = 400 miles ⇒ 6th

Map 2:

Length of 20 inches → 1 inch = 300 miles ⇒ 1st

Map 3:

Area of 80 inches → 1 inch = 600 miles ⇒ 3rd

Map 4:

Scale not shown ⇒ 5th

Map 5:

Length of 60 inches → 1 inch = 100 miles ⇒ 4th

Step-by-step explanation:

The map scale is:

1 inch = 200 miles

The dimensions of the map are:

length of 30 inches and width of 24 inches

→ 1 : 200

→ 24 : x

→ 30 : y

By using cross multiplication

∴ x = 4800 ⇒ actual width

∴ y = 6000 ⇒ actual length

<em>Let us take the dimension in each map to find its scale</em>

Map 1:

∵ Width of 12 inches

→ 1 : m

→ 12 : 4800

By using cross multiplication

∴ 12 m = 4800

- Divide both sides by 12

∴ m = 400

∴ The scale of the map is 1 : 400

Map 1:

Width of 12 inches → 1 inch = 400 miles

Map 2:

∵ length of 20 inches

→ 1 : n

→ 20 : 6000

By using cross multiplication

∴ 20 n = 6000

- Divide both sides by 20

∴ n = 300

∴ The scale of the map is 1 : 300

Map 2:

Length of 20 inches → 1 inch = 300 miles

Map 3:

∵ Area of 80 inches²

∵ Area of the original map = 24 × 30 = 720 inches²

→ (1 inch)² : (1 mile)²

→ 1² : 200²

→ 720 : q

By using cross multiplication

∴ q = 28800000

Let us find the scale

→ 1² : p²

→ 80 : 28800000

By using cross multiplication

∴ 80 p² = 28800000

- Divide both sides by 80

∴ p² = 360000

- Take √ for both sides

∴ P = 600

∴ The scale of the map is 1 : 600

Map 3:

Area of 80 inches → 1 inch = 600 miles

Map 4:

∵ Width of 4 inches

→ 1 : f

→ 4 : 4800

By using cross multiplication

∴ 4 f = 4800

- Divide both sides by 4

∴ f = 1200

∴ The scale of the map is 1 : 1200

Map 4:

Width of 4 inches → 1 inch = 1200 miles ⇒ scale not shown

Map 5:

∵ length of 60 inches

→ 1 : g

→ 60 : 6000

By using cross multiplication

∴ 60 g = 6000

- Divide both sides by 60

∴ g = 100

∴ The scale of the map is 1 : 100

Map 5:

Length of 60 inches → 1 inch = 100 miles

5 0

3 years ago

Answers asap; greatly appreciated

vagabundo [1.1K]

I believe the answer is D

6 0

4 years ago

You have the following coins in your pocket: 5 quarters, 6 dimes, 2 nickels, and 12 pennies. What is the probability you will dr

Vikki [24]

Answer:

Step-by-step explanation:

6 0

3 years ago

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